How many numbers lying between 100 and 1000 can be formed with the digits 1,2,3,4,5 if the repetition of digits is not allowed?

Explanation

To solve the problem of how many numbers lying between 100 and 1000 can be formed with the digits 1, 2, 3, 4, and 5 without repetition, we can follow these steps:

### Step 1: Understand the range
We need to form three-digit numbers that lie between 100 and 1000. This means we are looking for numbers that can be represented as \(XYZ\), where \(X\), \(Y\), and \(Z\) are the digits.

**Hint:** Remember that the first digit (hundreds place) cannot be zero and must be one of the available digits.

### Step 2: Choose the first digit (hundreds place)
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